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27 August, 02:19

In how many ways can 5 singers be selected from 8 who came to an audition?

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  1. 27 August, 03:11
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    8 "choose" 5 = (8! / 5! x (8 - 5) !)

    8 "choose" 5 = (8! / 3! x 5!)

    = (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) /

    (5 x 4 x 3 x 2 x 1) /

    (3 x 2 x 1)

    = (8 x 7 x 6) /

    (3 x 2 x 1)

    = (7 x 4 x 2) = 56

    Therefore there are 56 ways 5 singers can be selected from 8 that came to an audition.
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